Question

What is the equation of the line in the graph written in correct Standard Form?

A. -2x + y = 4
B. -2x - y = -4
C. 2x + y = -4
D. 2x - y = 4
A
B
C
D

Answer 1

D. 2x - y = 4

Explanation:

Note that the line has a positive slope since y increases as x increases

We can easily eliminate A and B

That leaves C and D

The line passes through (0,-4) so the y-intercept is -4

The equation of a line in slope intercept form is

y = mx + b where m is the slope and b the y-intercept

Rewrite C and D so that y is on the LHS and the other terms are on the RHS

C=> y = -2x + 4 ==> slope is negative; reject

Only choice left is D

Just to be sure

D=> -y = -2x + 4 (subtract 2x on both sides)

=> y = 2x - 4 (multiply by -1)

Answer 2

Answer:D

Step-by-step explanation: 2x-y=4 with (2;0) and (0;-4). that is two point in the graph